Estimate for the Entropy Numbers of the Weighted Hardy Operators that Act from Banach Space to q-Banach Space
- Authors: Lomakina E.N.1, Nasyrova M.G.2
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Affiliations:
- Khabarovsk State University of Economics and Law
- Computing Center of the Far Eastern Branch of the Russian Academy of Sciences
- Issue: Vol 60, No 4 (2019)
- Pages: 624-635
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172506
- DOI: https://doi.org/10.1134/S0037446619040086
- ID: 172506
Cite item
Abstract
We study weighted Hardy operators from the Banach space Lp to the q-Banach space Lq and obtain estimates for the entropy numbers of one- and two-weighted Hardy operators with nonnegative measurable weight functions.
About the authors
E. N. Lomakina
Khabarovsk State University of Economics and Law
Author for correspondence.
Email: enlomakina@mail.ru
Russian Federation, Khabarovsk
M. G. Nasyrova
Computing Center of the Far Eastern Branch of the Russian Academy of Sciences
Author for correspondence.
Email: nassm@mail.ru
Russian Federation, Khabarovsk